Nonlinear Stability for 3-D Plane Poiseuille Flow in a Finite Channel

Qi Chen, Zhejiang University, Hangzhou, People's Republic of China, Shijin Ding, South China Normal University, Guangzhou, People's Republic of China, Zhilin Lin, South China Normal University, Guangzhou, People's Republic of China, and Zhifei Zhang, Peking University, Beijing, People's Republic of China

Chapters 1. Introduction 2. Resolvent estimates with Navier-slip boundary condition 3. Resolvent estimates with non-slip boundary condition 4. Space-time estimates for the linearized NS system 5. Nonlinear interaction 6. Energy estimates for zero modes 7. Energy estimates for non-zero modes 8. Nonlinear stability A.